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Finding the Fourth Proportional to 899.70, 1,241.69 and 545.82

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Solution

The fourth proportional to 899.70, 1,241.69 and 545.82 is: 753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.70 : 1,241.69 = 545.82 : x
  2. Step 2: Convert to fraction form
    899.70/1,241.69 = 545.82/x
  3. Step 3: Cross multiply
    899.70x = 1,241.69 × 545.82
  4. Step 4: Simplify right side
    899.70x = 677,739.24
  5. Step 5: Solve for x
    x = 677,739.24/899.70
  6. Step 6: Final answer
    x = 753.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.